Circle packing in regular polygons
P Amore - Physics of Fluids, 2023 - pubs.aip.org
We study the packing of a large number of congruent and non-overlapping circles inside a
regular polygon. We have devised efficient algorithms that allow one to generate …
regular polygon. We have devised efficient algorithms that allow one to generate …
Self-ordering of buckling, bending, and bumping beams
A collection of thin structures buckle, bend, and bump into each other when confined. This
contact can lead to the formation of patterns: hair will self-organize in curls; DNA strands will …
contact can lead to the formation of patterns: hair will self-organize in curls; DNA strands will …
Comparative study of crumpling and folding of thin sheets
Crumpling and folding of paper are at first sight very different ways of confining thin sheets in
a small volume: the former one is random and stochastic whereas the latest one is regular …
a small volume: the former one is random and stochastic whereas the latest one is regular …
Morphological phases of crumpled wire
We find that in two dimensions wires can crumple into different morphologies and present
the associated morphological phase diagram. Our results are based on experiments with …
the associated morphological phase diagram. Our results are based on experiments with …
Confinement of semiflexible polymers
J Guven, P Vázquez-Montejo - Physical Review E—Statistical, Nonlinear, and …, 2012 - APS
A variational framework is developed to examine the equilibrium states of a semiflexible
polymer that is constrained to lie on a fixed surface. As an application the confinement of a …
polymer that is constrained to lie on a fixed surface. As an application the confinement of a …
Yin-Yang spiraling transition of a confined buckled elastic sheet
S Deboeuf, S Protière, E Katzav - Physical Review Research, 2024 - APS
DNA in viral capsids, plant leaves in buds, and geological folds are examples in nature of
tightly packed low-dimensional objects. However, the general equations describing their …
tightly packed low-dimensional objects. However, the general equations describing their …
Packing of elastic rings with friction
S Alben - Proceedings of the Royal Society A, 2022 - royalsocietypublishing.org
We study the deformations of elastic filaments confined within slowly shrinking circular
boundaries, under contact forces with friction. We perform computations with a spring-lattice …
boundaries, under contact forces with friction. We perform computations with a spring-lattice …
Entropic rigidity of a crumpling network in a randomly folded thin sheet
AS Balankin, OS Huerta - Physical Review E—Statistical, Nonlinear, and Soft …, 2008 - APS
We have studied experimentally and theoretically the response of randomly folded
hyperelastic and elastoplastic sheets on the uniaxial compression loading and the statistical …
hyperelastic and elastoplastic sheets on the uniaxial compression loading and the statistical …
Effects of self-avoidance on the packing of stiff rods on ellipsoids
D Grossman, E Katzav - Physical Review E, 2024 - APS
Using a statistical-mechanics approach, we study the effects of geometry and self-avoidance
on the ordering of slender filaments inside nonisotropic containers, considering cortical …
on the ordering of slender filaments inside nonisotropic containers, considering cortical …
Spontaneous emergence of ordered phases in crumpled sheets
YC Lin, JM Sun, JH Hsiao, Y Hwu, CL Wang, TM Hong - Physical review letters, 2009 - APS
X-ray tomography is performed to acquire 3D images of crumpled aluminum foils. We
develop an algorithm to trace out the labyrinthian paths in the three perpendicular cross …
develop an algorithm to trace out the labyrinthian paths in the three perpendicular cross …